Simplify.
-$\frac{x+4+\frac{4}{x}}{x+5+\frac{6}{x}}$
A) $\frac{x+2}{x+3}$
B) $\frac{x+2}{x^{2}+3 x}$
C) $\frac{x^{2}+4 x+4}{x^{2}+5 x+6}$
D) $\frac{(x+2)^{2}}{x+3}$

Question

Quizplus · Accepted Answer

By multiplying the numerator and the denominator by $x$, the expression simplifies to $\frac{x^2 + 4x + 4}{x^2 + 5x + 6}$, which can be factored to $\frac{(x+2)^2}{(x+3)(x+2)}$, simplifying further to $\frac{x+2}{x+3}$.

Simplify - x+4+4xx+5+6x\frac{x+4+\frac{4}{x}}{x+5+\frac{6}{x}}x+5+x6​x+4+x4​​ A) x+2x+3\frac{x+2}{x+3}x+3x+2​ B) x+2x2+3x\frac{x+2}{x^{2}+3 x}x2+3xx+2​ C) x2+4x+4x2+5x+6\frac{x^{2}+4 x+4}{x^{2}+5 x+6}x2+5x+6x2+4x+4​ D) (x+2)2x+3\frac{(x+2)^{2}}{x+3}x+3(x+2)2​

Simplify
- $\frac{x+4+\frac{4}{x}}{x+5+\frac{6}{x}}$ A) $\frac{x+2}{x+3}$ B) $\frac{x+2}{x^{2}+3 x}$ C) $\frac{x^{2}+4 x+4}{x^{2}+5 x+6}$ D) $\frac{(x+2)^{2}}{x+3}$